August 26, 2025Groups Geometry and DynamicsOpen Access

Quasi-isometric classification of right-angled Artin groups II: Several infinite out cases

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Any RAAG in identified classes is quasi-isometric to another if and only if they are commensurable, revealing a deep connection between these concepts.
The existence of an algorithm to determine quasi-isometry based on defining graphs enhances understanding of these groups' structural properties.
The study emphasizes the challenge of straightening quasi-isometries compared to finite outer cases, necessitating innovative approaches for infinite scenarios.
Deformation arguments and cubulation techniques are introduced to address complexities in the classification process for these groups.

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Implication

The analysis identifies classes of right-angled Artin groups where quasi-isometric and commensurability classifications align, suggesting new insights into outer automorphism groups.

Cite This Study

Jingyin Huang (2025) studied this question.

synapsesocial.com/papers/68af63e9ad7bf08b1eae47d9 https://doi.org/10.4171/ggd/913

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Implication

The analysis identifies classes of right-angled Artin groups where quasi-isometric and commensurability classifications align, suggesting new insights into outer automorphism groups.

Quasi-isometric classification of right-angled Artin groups II: Several infinite out cases

Key Points

Discussion

Implication

Cite This Study

Quasi-isometric classification of right-angled Artin groups II: Several infinite out cases

Key Points

Discussion

Implication

Cite This Study

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